Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 10)
10.
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
3.6 sec
18 sec
36 sec
72 sec
Answer: Option
Explanation:

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

   = 36 x 5 m/sec
18

   = 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

Time taken = 360 sec = 36 sec.
10
Discussion:
106 comments Page 4 of 11.

Shoyeb said:   7 years ago
What about the extra distance Jogger has travelled in those 36 seconds?

Sarang said:   7 years ago
Distance= speed * time.
120+240=45-9km/h*time,
360=36km/h*time,
360=36*5/18*time,
360=2*5*time,
360=10*time,
Time=360/10,
Time=36s.

Satish said:   8 years ago
@All.

Hi, I think the question is incorrect because if they are going in the same direction then train already ahead and has high speed than jogger so the train will go away.

Neelesh said:   8 years ago
This question asks "In how much time will the train pass the jogger".

Here, this rule is wrongly applied in the explanation: "Distance to be covered" = 240 + 120 m (i.e. "train length" and the distance between "jogger and engine".).

As Per the question, the "Distance to be covered" should be 120 m (i.e Train length).

It doesn't make sense why this explanation is wrongly taking into consideration 240m i.e. "Distance between Train engine and Jogger"?

ABHINAND said:   8 years ago
I think the platfr0m length n0 need t0 take. The train thake 8 sec t0 pass the man. After concider the relative speed.

120/ (36*5/18).

Kittu said:   8 years ago
@Ishan.

You explained very clearly! thank you.

Mohit Tiwari said:   8 years ago
The relative speed is 10m/s. But train needs to cover 240+2*(length of train) to pass the jogger so the answer should be 48 m/s.

Adarsh said:   8 years ago
Relative speed can be used only when the jogger covers 240 m in the said time. But he already is 240 m ahead of the train. Jogger is also moving, so he might also cover some distance, we have to calculate his distance. And we have to add that distance x +240 m + 120 meter. We have no idea about this distance x right?

Shubhankar said:   8 years ago
Jogger is also moving, I don't think answer is correct please update we have to first come to a meeting point of train and the jogger.

Neerja said:   9 years ago
@Raj Vora.

The distance between the jogger and train is 240m so to first catch up to the jogger the train has to travel 240m. The length of the train is 120m so to completely pass the man and overtake him the train has to travel the length of the train, i.e. 120m.

Therefore total distance to be travelled by the train is 120m+240m=360m.

Hope this helped.


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